145652346642 has 144 divisors (see below), whose sum is σ = 329134857408. Its totient is φ = 42929040000.

The previous prime is 145652346641. The next prime is 145652346647. The reversal of 145652346642 is 246643256541.

145652346642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145652346591 and 145652346600.

It is not an unprimeable number, because it can be changed into a prime (145652346641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 525820608 + ... + 525820884.

It is an arithmetic number, because the mean of its divisors is an integer number (2285658732).

Almost surely, 2^145652346642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145652346642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164567428704).

145652346642 is an abundant number, since it is smaller than the sum of its proper divisors (183482510766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145652346642 is a wasteful number, since it uses less digits than its factorization.

145652346642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 465 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

It can be divided in two parts, 145652 and 346642, that added together give a palindrome (492294).

The spelling of 145652346642 in words is "one hundred forty-five billion, six hundred fifty-two million, three hundred forty-six thousand, six hundred forty-two".